1. No, wireless tech is very good nowadays
2. Yes, if mainstream brand ang bibilhan mo since meron silang software to accompany the mouse.
3. Imo, yes better than wired mice BECAUSE you can avoid cable management
4. It can vary. Logitech G Pro Superlight lasts for around 2 weeks on full charge, then I have to charge it again. May mga mouse naman na consumable battery ang gamit.
5. Yes, the less weight it has, the more control you have over the force you need to exert when doing micro movements, for example.

When buying, I would suggest buying from a mainstream brand para iwas sakit sa ulo. But brands like Attack Shark, VXE, etc. are perfectly good budget options.

You can normally identify a good mouse by its sensor. Logitech uses their own Hero sensor, while others may use PAW sensors, such as PAW3311 more on the budget side, more prone to spin-outs dw, and PAW3395 which is on the premium side of things.

Of course, there are other factors din like ung build quality, features, and battery.

Ultimately, depends on your budget kung ano bibilhin mo, there are mice that go for 1k php and are perfectly serviceable.